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10434202400 = 255213199563
BaseRepresentation
bin10011011011110110…
…10100101100100000
3222221011210101211202
421231323110230200
5132332123434100
64443213100332
7516366154106
oct115573245440
928834711752
1010434202400
114474920776
1220324876a8
13ca394577b
1470daabc76
1541107a7d5
hex26ded4b20

10434202400 has 72 divisors (see below), whose sum is σ = 25667200944. Its totient is φ = 4141779200.

The previous prime is 10434202397. The next prime is 10434202403. The reversal of 10434202400 is 420243401.

10434202400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10434202397) and next prime (10434202403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10434202403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55019 + ... + 154581.

It is an arithmetic number, because the mean of its divisors is an integer number (356488902).

Almost surely, 210434202400 is an apocalyptic number.

10434202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833600472).

10434202400 is an abundant number, since it is smaller than the sum of its proper divisors (15232998544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10434202400 is a wasteful number, since it uses less digits than its factorization.

10434202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99714 (or 99701 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10434202400 its reverse (420243401), we get a palindrome (10854445801).

The spelling of 10434202400 in words is "ten billion, four hundred thirty-four million, two hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 131 160 200 262 400 524 655 800 1048 1310 2096 2620 3275 4192 5240 6550 10480 13100 20960 26200 52400 99563 104800 199126 398252 497815 796504 995630 1593008 1991260 2489075 3186016 3982520 4978150 7965040 9956300 13042753 15930080 19912600 26085506 39825200 52171012 65213765 79650400 104342024 130427530 208684048 260855060 326068825 417368096 521710120 652137650 1043420240 1304275300 2086840480 2608550600 5217101200 10434202400